Written by Henry Mancini and Johnny Mercer.

The original soundtrack album was a re-recording, as was typically done in those years; and in any case the acoustic version was never featured anywhere, always overlayed with orchestra. In 2013, the label Intrada released the soundtrack as it was originally recorded for the film, including this acoustic rendition in the 'extras' section.

Unfortunately the timestamps in the video description aren't quite correct, at least for the extras.